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Electronic Colloquium on Computational Complexity

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TR23-139 | 18th September 2023
Mrinal Kumar, Varun Ramanathan, Ramprasad Saptharishi

Deterministic Algorithms for Low Degree Factors of Constant Depth Circuits

For every constant $d$, we design a subexponential time deterministic algorithm that takes as input a multivariate polynomial $f$ given as a constant depth algebraic circuit over the field of rational numbers, and outputs all irreducible factors of $f$ of degree at most $d$ together with their respective multiplicities. Moreover, ... more >>>


TR23-138 | 12th September 2023
Lianna Hambardzumyan, Toniann Pitassi, Suhail Sherif, Morgan Shirley, Adi Shraibman

An improved protocol for ExactlyN with more than 3 players

The ExactlyN problem in the number-on-forehead (NOF) communication setting asks $k$ players, each of whom can see every input but their own, if the $k$ input numbers add up to $N$. Introduced by Chandra, Furst and Lipton in 1983, ExactlyN is important for its role in understanding the strength of ... more >>>


TR23-137 | 10th September 2023
Mi-Ying Huang, Xinyu Mao, Guangxu Yang, Jiapeng Zhang

Communication Lower Bounds of Key-Agreement Protocols via Density Increment Arguments

Constructing key-agreement protocols in the random oracle model (ROM) is a viable method to assess the feasibility of developing public-key cryptography within Minicrypt. Unfortunately, as shown by Impagliazzo and Rudich (STOC 1989) and Barak and Mahmoody (Crypto 2009), such protocols can only guarantee limited security: any $\ell$-query protocol can be ... more >>>



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